Least Common Multiple of 563/564, 1869/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/564, 1869/633 quickly i.e. 350749 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/564, 1869/633 is 350749.

LCM(563/564, 1869/633) = 350749

LCM of 563/564, 1869/633

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 563/564,1869/633

Given numbers are 563/564,1869/633

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 563,1869

Least Common Multiple of Numerators i.e. LCM of 563,1869 is 1052247.

GCF of Denominators means GCF of 564,633 as per the given fractions.

GCF of 564,633 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,1869

LCM of Fractions 563/564,1869/633 is 350749

Given numbers has no common factors except 1. So, there LCM is their product i.e 1052247

Least Common Multiple of 563,1869 with GCF Formula

Least Common Multiple of 563,1869 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 563,1869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,1869) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(563,1869) x common factors =1 x 1 = 1

LCM(563,1869) = ( 563 × 1869 ) / 1

LCM(563,1869) = 1052247 / 1

LCM(563,1869) = 1052247


Lets's calculate GCF of 564,633

3 564, 633
188, 211

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1052247/3

Therefore the LCM of Fractions 563/564,1869/633 is 350749

Greatest Common Factor of 564,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,633 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 564,633 . The biggest common factor number is the GCF number.
So the greatest common factor 564,633 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 563/564, 1869/633

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 563/564, 1869/633?

Answer: LCM of Numerators as per given numbers 563/564, 1869/633 is

LCM of Numerators i.e. for 563,1869 is 1052247

GCF of denominators i.e. for 564,633 is 3.

Thus, LCM of Fractions is 350749.Finally, LCM of Fractions for 563/564, 1869/633 is 350749.